(r-36)(r+49)=0

Solution for (r-36)(r+49)=0 equation:

Simplifying
(r + -36)(r + 49) = 0

Reorder the terms:
(-36 + r)(r + 49) = 0

Reorder the terms:
(-36 + r)(49 + r) = 0

Multiply (-36 + r) * (49 + r)
(-36(49 + r) + r(49 + r)) = 0
((49 * -36 + r * -36) + r(49 + r)) = 0
((-1764 + -36r) + r(49 + r)) = 0
(-1764 + -36r + (49 * r + r * r)) = 0
(-1764 + -36r + (49r + r2)) = 0

Combine like terms: -36r + 49r = 13r
(-1764 + 13r + r2) = 0

Solving
-1764 + 13r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-49 + -1r)(36 + -1r) = 0

Subproblem 1
Set the factor '(-49 + -1r)' equal to zero and attempt to solve:

Simplifying
-49 + -1r = 0

Solving
-49 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + -1r = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -1r = 0 + 49
-1r = 0 + 49

Combine like terms: 0 + 49 = 49
-1r = 49

Divide each side by '-1'.
r = -49

Simplifying
r = -49
Subproblem 2
Set the factor '(36 + -1r)' equal to zero and attempt to solve:

Simplifying
36 + -1r = 0

Solving
36 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + -1r = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1r = 0 + -36
-1r = 0 + -36

Combine like terms: 0 + -36 = -36
-1r = -36

Divide each side by '-1'.
r = 36

Simplifying
r = 36
Solution
r = {-49, 36}